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82775530253 = 1321309337409
BaseRepresentation
bin100110100010111001…
…1100101101100001101
321220122202202121201202
41031011303211230031
52324011013432003
6102005422515245
75660153253353
oct1150563455415
9256582677652
1082775530253
11321176a1039
1214061435b25
137a62175300
14401362d7d3
152246ec3088
hex1345ce5b0d

82775530253 has 12 divisors (see below), whose sum is σ = 89641916820. Its totient is φ = 76400303616.

The previous prime is 82775530237. The next prime is 82775530261. The reversal of 82775530253 is 35203557728.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 18085677289 + 64689852964 = 134483^2 + 254342^2 .

It is not a de Polignac number, because 82775530253 - 24 = 82775530237 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82775530198 and 82775530207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82775530273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2194013 + ... + 2231421.

It is an arithmetic number, because the mean of its divisors is an integer number (7470159735).

Almost surely, 282775530253 is an apocalyptic number.

It is an amenable number.

82775530253 is a deficient number, since it is larger than the sum of its proper divisors (6866386567).

82775530253 is a wasteful number, since it uses less digits than its factorization.

82775530253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50528 (or 50515 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 47.

The spelling of 82775530253 in words is "eighty-two billion, seven hundred seventy-five million, five hundred thirty thousand, two hundred fifty-three".

Divisors: 1 13 169 13093 37409 170209 486317 2212717 6322121 489796037 6367348481 82775530253